2251965240000 has 1400 divisors, whose sum is σ = 9844022504448. Its totient is φ = 497975040000.

The previous prime is 2251965239999. The next prime is 2251965240001. The reversal of 2251965240000 is 425691522.

2251965240000 is a `hidden beast` number, since 225 + 196 + 5 + 240 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2251965239999) and next prime (2251965240001).

It is a tau number, because it is divible by the number of its divisors (1400).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2251965240001) by changing a digit.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 703078399 + ... + 703081601.

Almost surely, 2^{2251965240000} is an apocalyptic number.

2251965240000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2251965240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4922011252224).

2251965240000 is an abundant number, since it is smaller than the sum of its proper divisors (7592057264448).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2251965240000 is an equidigital number, since it uses as much as digits as its factorization.

2251965240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3285 (or 3251 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 2251965240000 in words is "two trillion, two hundred fifty-one billion, nine hundred sixty-five million, two hundred forty thousand".